whats the parallel equation of y=1/3x-2 goes through point (0,6)

Answers

Answer 1

You know that two lines are parallel if they have the same slope, so the new line will also have slope

$m=\frac{1}{3}$

Because the equation of the given line is written in the form

$\begin{gathered} y=mx+b \\ \text{Where} \\ m\colon\text{slope of the line} \\ b\colon\text{ y-intercept} \end{gathered}$

Then, you can use point slope equation, which is

$\begin{gathered} y-y_1=m(x_{}-x_1) \\ \text{Where} \\ (x_1,y_1)\colon\text{ point through which the line passes.} \\ m\colon\text{slope of the line} \end{gathered}$

So,

$\begin{gathered} (x_1,y_1)=(0,6) \\ \text{ And you have} \\ y-y_1=m(x_{}-x_1) \\ y-6=\frac{1}{3}(x-0) \\ y-6=\frac{1}{3}x-0 \\ y-6=\frac{1}{3}x \\ \text{ Add 6 to both sides of the equation} \\ y-6+6=\frac{1}{3}x+6 \\ y=\frac{1}{3}x+6 \end{gathered}$

Therefore, the equation of the line that is parallel to y=1/3x-2 and goes through point (0,6) is

$y=\frac{1}{3}x+6$

Related Questions

Rotation - Question 5

Answers

When the former image is rotated, the dots will be located at section 2 and 7.

What is the effects of image rotation?

When an image is rotated, the constituents within it also changes its position as the object is moves from a point to another about a pivot junction.

From the given image above, after the rotation of the initial image, the dot should be located at number 2 and 7 of the new image.

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If 7% of a number equals 9, find 70% of that number.

Answers

Answer:

Step-by-step explanation:

bro 70 is ten times 7 so just multiply 9x10

BRAINLIEST PLEASSEEEEE HELP
7TH GRADE MATH
10PTSSSSS EASYYY
PLEASE HELP
What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of 4.5?
Perimeter = 46 cm, area = 131.25 cm2
Perimeter = 126 cm, area = 972 cm2
Perimeter = 46 cm, area = 972 cm2
Perimeter = 126 cm, area = 131.25 cm2

Answers

Answer:

Step-by-step explanation:

1. How many Grams are equal to 35kg.

2. how many milligrams are equal to 927 grams

3. How many grams are equal to 14,000 milligrams

Answers

Answer:

number 1 is 30000

Step-by-step explanation:

that's all i know :(

Which statement best compares the rate of change of the two functions?

Group of answer choices

The rate of change of function A is greater than the rate of change of function B.

The rate of change of both functions is 3.

The rate of change of function B is greater than the rate of change of function A.

The rate of change of both functions is 2.

Answers

The rate of change of function A is greater than the rate of change of function B. This is the statement which best compares the rate of change of the two functions.

What is rate of change?

The pace at which one quantity changes in relation to another quantity is known as the rate of change function. The relationship defining how one quantity changes in relation to the change in another quantity is given by the rate of change formula.

The formula for rate of change is:

$m=\frac{y_{2} -y_{1} }{x_{2}- x_{1} }$

The points for first function A are

(7,21) and (8,24).

So, the rate of change is:

$m=\frac{24-21}{8-7}$

m= 3/1 = 3

The points for second function B are

(2,4) and (3,6).

So, the rate of change is:

$m=\frac{6-4}{3-2}$

m= 2/1 = 2

The rate of change of function A is 3, while the rate of change of function B is 2.

Hence, the rate of change of function A is greater than the rate of change of function B.

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1. If you flip a fair coin 5 times, what is the probability of:

(a) Getting all heads?

(b) Getting all tails?

(c) Getting at least one head?

Answers

Step-by-step explanation:

P(heads) = ½, and P(tails) = ½

a) P(5 heads) = (½)⁵ = ¹/₃₂

b) P(5 tails) = (½)⁵ = ¹/₃₂

c) P(at least 1 head) = 1 − P(all tails) = ³¹/₃₂

40 POINTS In a region where 48% of the population is male, there are 11 boys and 14 girls in a sample of children. Find p and ρˆ (p-hat).

p =

ρˆ (p-hat) =

Answers

The values of p and ρˆ (p-hat) in the sample are

p = 0.48 and ρˆ (p-hat) = 0.44

How to determine the values of p and ρˆ (p-hat)?

From the question, we have the following parameters that can be used in our computation:

Proportion of male = 48%

Boys = 11

Girls = 14

The proportion of male represents the variable p

So, we have

p = Proportion of male = 48%

This gives

p = 48%

Express as decimal

p = 0.48

The variable ρˆ (p-hat) is then calculated as

ρˆ = x/n

In this case,

x = Boys = 11

n = Boys + Girls = 11 + 14 = 25

So, we have

ρˆ = 11/25

Evaluate

ρˆ = 0.44

Hence, the values are 0.48 and 0.44, respectively

Answers

Answer:

Step-by-step explanation:

The interquartile range defines the difference between the third and the first quartile.

Let's put this data set in ascending order:

24, 36, 48, 52, 52, 60, 72

The median is 52. The median of both the lower (1st quartile) and upper half (3rd quartile) of the data is 36 and 60.

Now we can subtract the first quartile from the third quartile (60 - 36) to get the interquartile range of 24.

Hope this helped! :)

WILL MAKE BRAINLIEST!!! please help:((

1. Describe and correct the error made in writing an equation of the line shown.

Answers

Easier way I was taught than that is to go to the y-Int (0,4) and count rise over run or up/down,right/left and from their you should get -1/2+4 but I don’t know the whole fraction thing going on but my thing in my opinion is just a easier simpliar way

Simplify.........

$ \huge(2 \frac{3}{4} - 1 \frac{1}{3} ) \times \frac{3}{4} $

Answers

Answer:

$(\frac{11}{4}-\frac{4}{3})*\frac{3}{4}\\(\frac{33-16}{12})*\frac{3}{4} \\ \frac{17}{12} *\frac{3}{4} \\\frac{51}{48} \\\frac{17}{16}$

Step-by-step explanation:

play adult dosage of a medication is 15 mg per day what is the Pediatric dosage of that same medication for a child weighing 52 lb

Answers

If the child is given 15 mg of medicine and weights 52 pounds, we can calculate the pediatric dosage as:

$d=\frac{15mg}{52lb}\approx0.288\text{ mg/lb}$

Answer: 0.288 mg/lb

Jenna is a part-time receptionist at
the dentist's office. Her income last
year was $9,125. Her tax status is
single, she claims one exemption for
herself, and she plans on taking the
standard deduction. What is her
taxable income?

Answers

From the information provided, Jenna's taxable income is zero. See the explanation below.

How do you calculate taxable income?

The formula for taxable income is given as:

Gross Income Less Standard Deduction.

Since the current effective standard deduction for singles is $12,950 Jenna doesn't need to file a tax return since tax cannot be a negative figure.

it is to be noted that the rate payable for individual single taxpayers in 2022 is $10% up to $10,275.

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What polyhedron can be assembled from this net? Explain how you know.

Answers

Answer:

Step-by-step explanation:

You can fold the two big rectangles together and make a kinda box like thing, with the triangles as faces, but... there's no top!

Please look at the picture and answer the question thank you

Answers

Answer:

-2x^2+5y^3+

Step-by-step explanation:

please help me with this

Answers

Answer:

Step-by-step explanation:

64x³ = -1

x³ = -1/64

x = ∛-1/∛64

x = -1/4

Answer:

x = - $\frac{1}{4}$

Step-by-step explanation:

64x³+1=0

Add 1 to both sides:

64x³=-1

Divide both sides by 64:

x³=-$\frac{1}{64}$

Find cubed root of both sides:

x=-$\sqrt[3]{\frac{1}{64}}$

Note that $\sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}$ :

x=-$\frac{\sqrt[3]{1} }{\sqrt[3]{64} }$

Evaluate:

x = - $\frac{1}{4}$

Christine went shopping and bought each of her six nephews a gift, either a video costing $14.95 for a CD costing $16.88. She spent $99.35 on the gifts. How many videos and how many CDs did she buy?

Answers

Let v = number of video's she bought

Let c = number of CD's she bought

v+c=16

1495v+1688c=9355

Multiply both sides of (1) by 1495

and subtract (1) from (2)

-1495v-1495c=-8970

193c=386

c=2h

In the diagram below, triangle abc ~ triangle dec . What is the value of x? A. 28 b. 24 c. 22 d. 26

Answers

Answer:

Option A.

Step-by-step explanation:

From the figure attached,

Given : ΔABC ~ ΔDEC

By the property of similarity,

"Corresponding sides of the similar triangles are proportional"

$\frac{\text{AB}}{ED}=\frac{BC}{EC}=\frac{AC}{DC}$

Since, $\frac{\text{AB}}{ED}=\frac{AC}{DC}$

$\frac{42}{6}=\frac{x}{(32-x)}$

6x = 42(32 - x)

6x = 1344 - 42x

6x + 42x = 1344

48x = 1344

x = $\frac{1344}{48}$

x = 28 units

Therefore, Option (A). x = 28 units will be the answer.

Answer:28

Step-by-step explanation:

You visit the tallest building in a city and drop a penny off the edge of the observation deck. The distance the penny will fall is 16 feet the first second, 48 feet the next second, 80 feet the third second, and then it will continue falling at the same rate. How many feet will the penny fall during the 8th second?

384 feet
272 feet
256 feet
240 feet

Answers

The distance that an object falls due to gravity is given by the equation:

d = 1/2 * g * t^2

where d is the distance fallen, g is the acceleration due to gravity, and t is the time elapsed.

In this case, we are given that the penny falls 16 feet during the first second, 48 feet during the second second, and 80 feet during the third second. From this, we can see that the penny is falling with a constant acceleration of 32 feet per second per second (since the distance is increasing by 32 feet each second).

To find the distance that the penny falls during the eighth second, we can use the same equation as before, but with a value of t equal to 8 seconds:

d = 1/2 * g * t^2
d = 1/2 * 32 * 8^2
d = 1/2 * 32 * 64
d = 1024 feet

Therefore, the penny will fall 1024 feet during the eighth second.

Circular interpolation involves dividing the arc to be generated into segments, and approximating each segment by a straight line. What is the optimum number of segments would you recommend to be used for each arc

Answers

Answer:

I would recommend optimum number of six segments for each arc.

Step-by-step explanation:

The optimum number of segments I would recommend for each arc is six. This way, the circle interpolation will divide the arc into six segments, and approximating each segment by a straight line.

Sophie bikes s miles per hour. Her friend Rana is slower. Rana bikes r miles per hour. Yesterday, Sophie biked for t hours. How many miles was Sophie's route?

Answers

Sophie's route was s x t miles long.

How to solve for distance of Sophie's route?

If Sophie biked at s miles per hour for t hours, then her total distance would be:

distance = speed x time

distance = s x t

So Sophie's route was s x t miles long.

What is distance?

Distance is the total amount of ground covered by an object or person as they move from one point to another. It is a scalar quantity, which means it is only described by magnitude (i.e. how much ground was covered), and not direction.

Distance is typically measured in units such as meters, kilometers, miles, or feet. In the context of this question, distance refers to the length of the route that Sophie biked in miles.

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Answer: Sophie's route is s*t miles long

Step-by-step explanation:

We know distance equals speed times time, so it would be s (miles per hour) times t (hours).

Hope this helps!

Have a good day & stay strong

Perform the indicated operation 1 1/3 · 3 3/4

Answers

1 1/3 * 3 3/4

4/3*3*3/4

hope this helps!

Jasmine has a circular swimming pool with a radius of 4.2 meters. What is the circumference of the pool? Use 3.14 for π
. Round to the nearest hundredth if necessary.
__ m

Answers

If the radius of Jasmine's swimming pool is 4.2 meter, then it's circumference is 26.4 meters.

The "Circumference" of a circle is known as the distance around the boundary of a circle.

The circumference of a circle is given by the formula : 2 × π × radius,

where π (pi) is a mathematical constant approximately equal to 3.14,

We are given that Jasmine's swimming pool has a radius of 4.2 meters.
So, we can calculate the circumference of the pool as :

⇒ Circumference = 2 × 3.14 × 4.2 meters,

⇒ Circumference ≈ 26.4 meters,

Therefore, the circumference of Jasmine's swimming pool is 26.4 meters.

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Parametric point from A (2,1,0) to B(-2,0,1)

Answers

The parametric equations are mathematically given as

(x(t), y(t), z(t))= (2-4t, 1-t, t)

What is a Parametric point?

Generally, To express the parametric point from A (2,1,0) to B(-2,0,1) in parametric form, we can use the following equation:

P(t) = (2-4t, 1-t, t)

To find the parametric equations for a point moving from A to B, we can use the following formula:

x = x₁ + t(x₂ - x1)

y = y₁ + t(y₂ - y₁)

z = z₁ + t(z₂ - z₁)

Where (x₁, y₁, z₁) is the starting point (A), (x₂, y₂, z₂) is the ending point (B), and t is a parameter that varies from 0 to 1.

Using this formula, the parametric equations for a point moving from A (2,1,0) to B(-2,0,1) are:

x = 2 + t(-2 - 2)

= 2 - 4t

y = 1 + t(0 - 1)

= 1 - t

z = 0 + t(1 - 0)

= t

These equations describe the motion of a point that starts at A, moves along the line segment from A to B, and arrives at B when t = 1.

Answers

Metric tons of soil lost during its formation $2.96*10^-7$

Gully is 2 meter deep 4 meter wide and 50 meters long.

So we know if Gully length = l width =w height =h

then volume of gully is l*b*h.

by same way volume of gully is 50*4*2 = 200 $m^3$

Bulk density of this soil is 1.48 mg/m^3.

How many metric tons of soil lost during its formation?

1000kg = 1 metric ton.

density = 1.48mg/m^3 = $1.48*10^-6$ kg/m^3

means for 1 m^3 volume we lost $1.48*10^-6$ kg of soil.

for 200m^3 volume we lost $200*1.48*10^-6$ kg of soil.

$296*10^-6$ kg of soil.

to convert kg into metric ton we have to divide 1000.

$296*10^-6$/1000 = $296*10^-9$ = $2.96*10^-7$

So Metric tons of soil lost during its formation $2.96*10^-7$

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In 1997, a city had a population of 230,000 people.

Each year since, the population has grown by 6.3%.

Let t be the number of years since 1997. Let y be the city's population.

Write an exponential function showing the relationship between y and t.

Answers

Therefore, the exponential function showing the relationship between y and t is:

$y = 230,000 *{ (1.063)^{t}$

The population of the city is growing at a constant rate of 6.3% per year. This means that the population is increasing by a factor of 1.063 each year.

Let y0 be the initial population in 1997, which is 230,000. The population in year t can be represented as:

$y = y_0 * (1.063)^t$

where t is the number of years since 1997.

Therefore, the exponential function showing the relationship between y and t is:

$y = 230,000 * (1.063)^{t}$

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What is greater 1.0275 or 1.029

Answers

Answer:

1.029 is greater than 1.0275

Step-by-step explanation:

Answer:

1.029

Step-by-step explanation:

What is greater 1.0275 or 1.029

.027 < .029

So, 1.029 is greater.

(2 tens 1 one)x10 in unit form and standard form

Answers

When the number expression given as (2tens 1 one) x 10 is written in standard form, the standard form is 210 and the unit form is 2 hundred, and 1 ten

How to write the number in standard form?

The number expression is given as:

(2tens 1 one) x 10

2 tens is represented as:

2 * 10

1 one is represented as:

1 * 1

So, the number expression can be rewritten as:

(2tens 1 one) x 10 = (2 * 10 + 1 * 1) x 10

Evaluate the product

(2tens 1 one) x 10 = (20 + 1) x 10

Evaluate the sum

(2tens 1 one) x 10 = (21) x 10

Evaluate the product

(2tens 1 one) x 10 = 210

When the number expression given as (2tens 1 one) x 10 is written in standard form, the standard form is 210 and the unit form is 2 hundred, and 1 ten

Using the above steps as a guide, we have:

(5 hundreds 5 tens) * 10 ⇒ 5 thousands and 5 hundreds ⇒ 5500(2 thousands 7 tens) / 10 ⇒ 2 hundreds and 7 units ⇒ 207(4 ten thousands 8 hundred) / 10 ⇒ 4 thousands and 8 tens ⇒ 4080

Answers

Answer:

25/9

Step-by-step explanation:

3 1/3 ÷ 1 1/5

3 1/3 = 10/3

1 1/5 = 6/5

10/3 ÷ 6/5 = 10/3 x 5/6 = 50/18 = 25/9

So, the answer is 25/9

Solve for x. Triangles below are similar.

a) 13
b) 10
c) 4
d) 3

Answers

Answer:

the answer is 4 (option C)

Step-by-step explanation:

Since the triangles are similar, and in triangle UTV both sides are equal, we can consider QTR also has two equal sides.

therefore, the equation forms:

13x + 3 = 55

13x = 55 - 3

13x = 52

x = 52/13

x = 4

A rectangle has a length 3x + 1 of and a width of Write an expression for the 3-9
perimeter of the rectangle.

Answers

The expression for the perimeter is P = 12x - 16

How to write an expression for the perimeter?

The given parameters are

Length = 3x + 1

Width = 3x - 9

The perimeter is calculated as

P = 2 * (Width + Length)

So, we have

P = 2 * (3x + 1 + 3x - 9)

Evaluate

P = 2* (6x - 8)

Expand

P = 12x - 16

Hence, the expression for the perimeter is P = 12x - 16